In this paper, we will be interested in field theories invariant under the \(1+1\) D Carrollian conformal algebra (at level 2) that is isomorphic to the BMS\(_3\)  algebra [1]}. Explicit constructions of such field theories have been carried out e.g. in [2]}, [3]}, [4]}. Interestingly, only in \(1+1\) D, the Carrollian algebra is isomorphic to the Galilean algebra with this isomorphism extending to their conformal counterparts [1]}, [6]}.
